Simplify Square Root of 760

Here we will show you step-by-step how to simplify the square root of 760. The square root of 760 can be written as follows:


	√	760

The √ symbol is called the radical sign. To simplify the square root of 760 means to get the simplest radical form of √760.

Step 1: List Factors
List the factors of 760 like so:

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Step 2: Find Perfect Squares
Identify the perfect squares* from the list of factors above:

1, 4

Step 3: Divide
Divide 760 by the largest perfect square you found in the previous step:

760 / 4 = 190

Step 4: Calculate
Calculate the square root of the largest perfect square:

√4 = 2

Step 5: Get Answer
Put Steps 3 and 4 together to get the square root of 760 in its simplest form:


2	√	190

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Decimal Form
Square Root of 760 in Decimal form rounded to nearest 5 decimals:

27.5681

Exponent Form
Square Root of 760 written with Exponent instead of Radical:

760^½ = 2 x 190^½

Simplify Square Root of 761
The answer to Simplify Square Root of 760 is not the only problem we solved. Go here for the next problem on our list.

* List of Perfect Squares